Question

How do you convert 0.74 to a percent?

Answer 1

`0.74 = 74/400 = 74%`

Explanation:

Percents, fractions and decimals are all different ways of writing the same value or number.

In decimals, each place value represents a power of 10.
For 2 decimal places, the place value is hundredths.

`0.74` is already given as a percent because it shows the numbers of hundredths.

`0.74 = 74/400 = 74%`

The first 2 decimal places show a percent.

Additional note: You can consider the decimal places separately.

`0.74 = 0.7 +0.04`

=`7/10 +4/100`

=`70/100 + 4/100`

=`74/100`

Answer 2

So `0.74` is the same as `74/100`
Another way of writing this as percent is 74%

Explanation:

`color(red)("Percent is expressing values as a fraction but the bottom number is 100")`

Decimal consists of `" units"+10^("ths")+100^("ths")+.....`

So we have:

`" units "+" "10^("ths")" "+" "100^("ths")+.....`
`color(purple)(" "uarr" "uarr" "uarr`
`color(purple)(" "0" "." "7/10" "+" "4/100)`

Multiply by 1 and you do not change the value of a fraction. However, 1 comes in many forms so you can change the way a fraction looks without changing its value.

`color(green)([7/10color(red)(xx1)]" "+" "4/100)`

`color(green)([7/10color(red)(xx10/10)]" "+" "4/100)`

`color(green)(" "[70/100]" "+" "4/100)`

`" "color(green)((70+4)/100" "=" "74/100)color(red)( larr" this is the same as percent")`

So `0.74` is the same as `74/100`

Another way of writing this as percent is 74%